The Learning and Teaching of Calculus: Ideas, Insights and Activities

This book is written for people who teach calculus, especially student teachers, and provides a reader-friendly overview of research on learning and teaching calculus, along with questions on educational and mathematical discussion topics. It offers a variety of approaches to the teaching of calculus and covers topics such as a history of calculus, making sense of limits and continuity, differentiation, integration, and applications of calculus.

Format: Hardback
Length: 294 pages
Publication date: 05 September 2023
Publisher: Taylor & Francis Ltd

This comprehensive book is designed specifically for individuals who teach calculus, particularly those who mentor student teachers who will eventually impart this subject. The focus of the calculus explored is elementary calculus involving a single variable. The book seamlessly integrates teaching ideas with calculus concepts, offering a reader-friendly overview of research on learning and teaching calculus, along with thought-provoking questions on educational and mathematical discussion topics.

Crafted by a collective of international authors with extensive expertise in teaching and research on learning/teaching calculus at both school and university levels, the book presents a diverse range of approaches to calculus teaching, allowing educators to choose the approach that best suits their teaching style. The topics covered in this book are extensive and encompass a historical perspective on calculus, exploring how it differs across countries today. Chapters dedicated to understanding limits and continuity, differentiation, integration, and the fundamental theorem of calculus form the core of the book, making up a substantial portion of its content.

Furthermore, the book delves into the order of calculus concepts, discussing whether limits should be introduced first or if a differential or infinitesimal approach is more appropriate. It also explores various applications of calculus, including differential equations, and extends its scope beyond elementary calculus in the final chapter. Throughout the book, recurring themes emerge, such as the debate between taking a limit or a differential/infinitesimal approach to calculus and the integration of digital technology in the learning and teaching of calculus.

This book holds immense importance for mathematics teacher trainers across the globe. It serves as a valuable resource that provides insights, strategies, and discussions to enhance the teaching and learning of calculus. By incorporating the principles and approaches outlined in this book, educators can foster a deeper understanding and appreciation of this fundamental mathematical discipline, equipping students with the skills and knowledge necessary for success in their academic and professional pursuits.

Weight: 721g
Dimension: 234 x 156 (mm)
ISBN-13: 9781032069722